Necessary and sufficient conditions for power convergence rate of approximations in Tikhonov's scheme for solving ill-posed optimization problems
The author investigates a rate of convergence of estimates for approximations generated by Tikhonov's scheme for solving ill-posed optimization problems with smooth functionals under a structural nonlinearity condition in a Hilbert space, in the cases of exact and noisy input data. In the presence of a noise, the author gives a parameter choice rule that leads for Tikhonov's scheme to a power accuracy estimate with respect to the noise level.
scientific article; zbMATH DE number 6838156
scientific article